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Transition from dissipative to conservative dynamics in equations of hydrodynamics

Banerjee, Debarghya and Ray, Samriddhi Sankar (2014) Transition from dissipative to conservative dynamics in equations of hydrodynamics. In: PHYSICAL REVIEW E, 90 (4).

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Official URL: http://dx.doi.org/ 10.1103/PhysRevE.90.041001


We show, by using direct numerical simulations and theory, how, by increasing the order of dissipativity (alpha) in equations of hydrodynamics, there is a transition from a dissipative to a conservative system. This remarkable result, already conjectured for the asymptotic case alpha -> infinity U. Frisch et al., Phys. Rev. Lett. 101, 144501 (2008)], is now shown to be true for any large, but finite, value of alpha greater than a crossover value alpha(crossover). We thus provide a self-consistent picture of how dissipative systems, under certain conditions, start behaving like conservative systems and hence elucidate the subtle connection between equilibrium statistical mechanics and out-of-equilibrium turbulent flows.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 14 Dec 2014 10:50
Last Modified: 14 Dec 2014 10:50
URI: http://eprints.iisc.ac.in/id/eprint/50444

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